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Finding the Fourth Proportional to 427.32, 641.62 and 406.73

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Solution

The fourth proportional to 427.32, 641.62 and 406.73 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 641.62 = 406.73 : x
  2. Step 2: Convert to fraction form
    427.32/641.62 = 406.73/x
  3. Step 3: Cross multiply
    427.32x = 641.62 × 406.73
  4. Step 4: Simplify right side
    427.32x = 260,966.10
  5. Step 5: Solve for x
    x = 260,966.10/427.32
  6. Step 6: Final answer
    x = 610.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.